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By selling a computer for Rs.30.875. a shopkeeper suffers a loss of 5%. At What price should he sell it to gain 7%?
Question

By selling a computer for Rs.30.875. a shopkeeper suffers a loss of 5%. At What price should he sell it to gain 7%?

A.

Rs.34,775

B.

Rs.35,525

C.

Rs.33,985

D.

Rs.36,105

Correct option is A

Given:

Selling Price (SP) at 5% loss = Rs. 30,875

Required gain = 7%

Formula Used:

CP = SP1Loss %100\frac{\text{SP}}{1 - \frac{\text{Loss \%}}{100}}​​

New SP = CP×(1+Gain %100)\text{CP} \times \left(1 + \frac{\text{Gain \%}}{100} \right)​​

Solution:

CP = 3087515100=308750.95=32500\frac{30875}{1 - \frac{5}{100}} = \frac{30875}{0.95} = 32500

SP = 32500×(1+7100)32500 \times \left(1 + \frac{7}{100} \right)

= 32500 ×(107100)\times \left( \frac{107}{100} \right)

= 325×107325 \times 107​​

= ₹34,775

Alternate method:

Cost Price = 100%

Frist Selling Price = 100 – 5 = 95%

95 = 30,875

1 = 325

So that After 7% profit = 107%

107% = 107×325107 \times325​ = 34,775

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